Home / 412,900-603,412

Finding the Third Proportional to 412,900 and 603,412

Calculator

Solution

The third proportional to 412,900 and 603,412 is: 881,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,900 : 603,412 = 603,412 : x
  2. Step 2: Convert to fraction form
    412,900/603,412 = 603,412/x
  3. Step 3: Cross multiply
    412,900x = 603,412 × 603,412
  4. Step 4: Simplify right side
    412,900x = 364,106,041,744
  5. Step 5: Solve for x
    x = 364,106,041,744/412,900
  6. Step 6: Final answer
    x = 881,826.21

Related Problems

Find third proportional to 206,450 and 301,706
Half scale
Find third proportional to 825,800 and 1,206,824
Double scale
Find third proportional to 412,902 and 603,415
Similar ratio
Find third proportional to 619,350 and 905,118
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.